105288714 has 16 divisors (see below), whose sum is σ = 233975040. Its totient is φ = 35096220.

The previous prime is 105288683. The next prime is 105288719. The reversal of 105288714 is 417882501.

It is a super-2 number, since 2×105288714² = 22171426591547592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105288719) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 974842 + ... + 974949.

It is an arithmetic number, because the mean of its divisors is an integer number (14623440).

Almost surely, 2^105288714 is an apocalyptic number.

105288714 is an abundant number, since it is smaller than the sum of its proper divisors (128686326).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105288714 is a wasteful number, since it uses less digits than its factorization.

105288714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949802 (or 1949796 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 105288714 is about 10261.0288957784. The cubic root of 105288714 is about 472.2014036825.

The spelling of 105288714 in words is "one hundred five million, two hundred eighty-eight thousand, seven hundred fourteen".